A Polynomial Time Algorithm For The Conjugacy Decision and Search Problems in Free Abelian-by-Infinite Cyclic Groups

نویسندگان

  • Bren Cavallo
  • Delaram Kahrobaei
چکیده

In this paper we introduce a polynomial time algorithm that solves both the conjugacy decision and search problems in free abelian-by-infinite cyclic groups where the input is elements in normal form. We do this by adapting the work of Bogopolski, Martino, Maslakova, and Ventura in [1] and Bogopolski, Martino, and Ventura in [2], to free abelian-by-infinite cyclic groups, and in certain cases apply a polynomial time algorithm for the orbit problem over Zn by Kannan and Lipton [10].

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عنوان ژورنال:
  • CoRR

دوره abs/1410.5297  شماره 

صفحات  -

تاریخ انتشار 2014